Work efficiency in a study of workers efficiency at wong laboratories it was found that the numbers of compon

Question

in a study of workers efficiency at wong laboratories it was found that the numbers of componets assembled per hour by the averasge worker t hours after starting work could be modeled by the formula N(t) = - 3t3 power + 23t2power +8t

a. rewrite the formula by factoing the right hand side completely.

b. Use the factored version of the formula to find N(3).

c. Use the accompanying grapgh to estimate the time at which the workers are most effiecient.

Answer 1

a.

N(t) = t (-3t^2 + 23t + 8)

N(t) = t (t - 8) (t + 1/3)

b.

N(3) = 3 * (-3*9 + 23*3 + 8) = 150

c.

Peak at 5.3 hours

.